Will Dell Monitor 2001FP work with late 2009 Mac Mini?

I recently bought a late 2009 Mac Mini which I tested thoroughly with the seller's equipment and it worked perfectly. (He was keeping his monitor.) I tried it at home with two different monitors: a Dell Monitor 2001FP (which has both DVI-D and VGA inputs), which is the one I hope to use; and an old Sony VGA CRT monitor, which I presently use with a G5 Mac. Neither was able to communicate with the Mini.

I started with the original adapter that came with the Mini with its DVI-D dual link input. To this I connected the cable I use for the G5 (VGA --> VGA), adding a DVI-D --> VGA adapter and using the VGA input on the monitor, and nothing happened. I know the monitor works properly from its opening screen when turning it on. Then I tried a DVI-D --> VGA cable, the DVI-D end plugged directly into the Mac Mini adapter and the VGA end into the monitor. Still nothing happened. And finally, I tried the latter cable with a VGA --> DVI-D adapter into the DVI-D port on the monitor, and still no results.

Finally (whew!), my question is: Will this Dell monitor work with late 2009 Mac Mini, and if so, EXACTLY what cable or adapters do I need? Could it be as simple as a DVI-D --> DVI-D cable? Or a Mac Mini --> DVI-D cable, that is, not using the Apple-supplied adapter? Or is it simply not compatible?...

Many thanks!